1005505121 has 8 divisors (see below), whose sum is σ = 1010371200. Its totient is φ = 1000648080.

The previous prime is 1005505093. The next prime is 1005505129. The reversal of 1005505121 is 1215055001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005505121 - 2¹⁸ = 1005242977 is a prime.

It is a super-2 number, since 2×1005505121² = 2022081096714449282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005505093 and 1005505102.

It is not an unprimeable number, because it can be changed into a prime (1005505129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331550 + ... + 334568.

It is an arithmetic number, because the mean of its divisors is an integer number (126296400).

Almost surely, 2^1005505121 is an apocalyptic number.

It is an amenable number.

1005505121 is a deficient number, since it is larger than the sum of its proper divisors (4866079).

1005505121 is a wasteful number, since it uses less digits than its factorization.

1005505121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519.

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 1005505121 is about 31709.7007396790. The cubic root of 1005505121 is about 1001.8316832214.

The spelling of 1005505121 in words is "one billion, five million, five hundred five thousand, one hundred twenty-one".